Similar Triangles and Proportions
 Two figures that have the same shape but not necessarily the same size are similar. ∆ABC is similar to ∆DEF  Classify the two shapes shown in the diagram. congruent only similar only neither congruent nor similar both congruent and similar Similar figures have CONGRUENT corresponding angles ∡A≅∡ ∆ABC is similar to ∆DEF ∡B≅∡ ∡C≅∡ In similar figures, corresponding sides areproportional. 6 3 = 10 ?? Complete the statement of proportionality 12 12 24 ? 8 = 10 10 20 ? = 24 16 16 ? 8 20 ∆ABC is similar to ∆EFG A AB EF ? = B C BC FG ? E = AC EG ? F G ∆ABC is similar to ∆UVW A UV ? AB = B C BC VW ? U = UW ? AC V W These ∆s are similar, which means they have proportional sides 12 x 12 8 = x 10 These ∆s are similar, which means they have proportional sides 12 x 12 8 = 10 8 x = x 10  Dilations on the Coordinate Plane Result in Similar Figures! What is the scale factor if ABCD is dilated over the origin? Scale Factor:  Given triangle DEF before a dilation centered at the originwith a scale factor of 5. What are the coordinates of point D' after the dilation? D' ( , ) |
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